So I think, as a rule of thumb that for fission to be possible [itex]\frac{Z^2}{A}[/itex][itex]\geq[/itex]47(adsbygoogle = window.adsbygoogle || []).push({});

I want to be able to derive this relationship though..

If a nucleus deforms into an ellipsoid, its surface area can be described by

4[itex]\pi[/itex]R^{2}(1+[itex]\frac{2}{5}[/itex][itex]\epsilon^2[/itex] + ...) call this X

And its Coulomb energy can be described as

[itex]\frac{3Z^2}{20\pi\epsilon_0R}[/itex](1-[itex]\frac{1}{5}[/itex][itex]\epsilon^2[/itex] + ...) call this Y

And so ΔBE = X-Y

For fission to occur set ΔBE ≤ 0

Once I've done all this I'm not sure how to get ΔBE in terms of A and Z only. I know R = r_{0}A^{1/3}

thanks

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# Requirements for fission

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